https://drorbn.net/index.php?action=history&feed=atom&title=Notes_for_AKT-170217%2F0%3A03%3A07Notes for AKT-170217/0:03:07 - Revision history2026-05-08T01:45:53ZRevision history for this page on the wikiMediaWiki 1.39.6https://drorbn.net/index.php?title=Notes_for_AKT-170217/0:03:07&diff=16119&oldid=prevDrorbn at 18:17, 20 February 20172017-02-20T18:17:45Z<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As for the screen, next time I'll lower the brightness level. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 17:26, 17 February 2017 (EST)</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As for the screen, next time I'll lower the brightness level. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 17:26, 17 February 2017 (EST)</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Incidentally, the fact that $l+ef/h$ is central is really that $hl+ef$ is central, which follows from the fact that $h\otimes l+e\otimes f=h_1l_2+e_1f_2$ is invariant<del style="font-weight: bold; text-decoration: none;">,</del> by stitching using $m^{12}_1$. But the invariance of $h\otimes l+e\otimes f$ is the standard "invariance of a chord", or "invariance of the Casimir", and moding out by it is imposing the "Framing Independence" relation. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 09:12, 20 February 2017 (EST)</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Incidentally, the fact that $l+ef/h$ is central is really that $hl+ef$ is central, which follows from the fact that $h\otimes l+e\otimes f=h_1l_2+e_1f_2$ is invariant by stitching using $m^{12}_1$. But the invariance of $h\otimes l+e\otimes f$ is the standard "invariance of a chord", or "invariance of the Casimir", and moding out by it is imposing the "Framing Independence" relation. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 09:12, 20 February 2017 (EST)</div></td>
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</table>Drorbnhttps://drorbn.net/index.php?title=Notes_for_AKT-170217/0:03:07&diff=16118&oldid=prevDrorbn at 14:12, 20 February 20172017-02-20T14:12:33Z<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As for the screen, next time I'll lower the brightness level. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 17:26, 17 February 2017 (EST)</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As for the screen, next time I'll lower the brightness level. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 17:26, 17 February 2017 (EST)</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Incidentally, the fact that $l+ef/h$ is central is really that $hl+ef$ is central, which follows from the fact that $h\otimes l+e\otimes f=h_1l_2+e_1f_2$ is invariant, by stitching using $m^{12}_1$. But the invariance of $h\otimes l+e\otimes f$ is the standard "invariance of a chord", or "invariance of the Casimir", and moding out by it is imposing the "Framing Independence" relation. --[[User:Drorbn|Drorbn]] ([[User talk:Drorbn|talk]]) 09:12, 20 February 2017 (EST)</div></td>
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</table>Drorbnhttps://drorbn.net/index.php?title=Notes_for_AKT-170217/0:03:07&diff=16116&oldid=prevDrorbn at 22:26, 17 February 20172017-02-17T22:26:59Z<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Also, the screen is impossible to see on video but the accompanying mathematica file makes up for it twice.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Also, the screen is impossible to see on video but the accompanying mathematica file makes up for it twice.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Roland}}</div></td>
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</table>Drorbnhttps://drorbn.net/index.php?title=Notes_for_AKT-170217/0:03:07&diff=16115&oldid=prevRolandvdv at 22:17, 17 February 20172017-02-17T22:17:29Z<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Consider the algebra H obtained from <math>U(g_0)</math> by inverting h and quotienting by the relation <math>l=-ef/h</math></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(check that <math>l+ef/h</math> is a central element in <math>U(g_0)</math>). And while we're at it, why not scale out the h entirely?</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(check that <math>l+ef/h</math> is a central element in <math>U(g_0)</math>). And while we're at it, why not scale out the h entirely?</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Does H reproduce the theory of <math>\Gamma</math> calculus?</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Also, the screen is impossible to see on video but the accompanying mathematica file makes up for it twice.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Also, the screen is impossible to see on video but the accompanying mathematica file makes up for it twice.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Roland}}</div></td>
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</table>Rolandvdvhttps://drorbn.net/index.php?title=Notes_for_AKT-170217/0:03:07&diff=16114&oldid=prevRolandvdv: Created page with "<math>g_0</math> may be the 0th in the class of Lie algebras we're playing with but its enveloping algebra can be made simpler still. Consider the algebra H obtained from <ma..."2017-02-17T22:10:23Z<p>Created page with "<math>g_0</math> may be the 0th in the class of Lie algebras we're playing with but its enveloping algebra can be made simpler still. Consider the algebra H obtained from <ma..."</p>
<p><b>New page</b></p><div><math>g_0</math> may be the 0th in the class of Lie algebras we're playing with but its enveloping algebra can be made simpler still. <br />
Consider the algebra H obtained from <math>U(g_0)</math> by inverting h and quotienting by the relation <math>l=-ef/h</math><br />
(check that <math>l+ef/h</math> is a central element in <math>U(g_0)</math>). And while we're at it, why not scale out the h entirely?<br />
Also, the screen is impossible to see on video but the accompanying mathematica file makes up for it twice.<br />
{{Roland}}</div>Rolandvdv